Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
22644c |
Isogeny class |
Conductor |
22644 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
7336656 = 24 · 36 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1884,-31475] |
[a1,a2,a3,a4,a6] |
Generators |
[489073200:3936862085:5451776] |
Generators of the group modulo torsion |
j |
63404326912/629 |
j-invariant |
L |
5.4652860222917 |
L(r)(E,1)/r! |
Ω |
0.72465215583921 |
Real period |
R |
15.083888119983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90576bd1 2516b1 |
Quadratic twists by: -4 -3 |